Least Common Multiple of 311430 and 311436

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 311430 and 311436 the smallest integer that is 16165085580 that is divisible by both numbers.

Least Common Multiple (LCM) of 311430 and 311436 is 16165085580.

LCM(311430,311436) = 16165085580

LCM of 311430 and 311436

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 311430 and 311436

LCM of 311430 and 311436 is 16165085580

Least common multiple can be found by multiplying the highest exponent prime factors of 311430 and 311436. First we will calculate the prime factors of 311430 and 311436.

Prime Factorization of 311430


2 311430
3 155715
5 51905
7 10381
1483 1483
1

Prime factors of 311430 are 2, 3, 5, 7,1483. Prime factorization of 311430 in exponential form is:

311430 = 21×31×51×71×14831

Prime Factorization of 311436


2 311436
2 155718
3 77859
3 25953
41 8651
211 211
1

Prime factors of 311436 are 2, 3, 41,211. Prime factorization of 311436 in exponential form is:

311436 = 22×32×411×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 311430 and 311436.

LCM(311430,311436) = 22×32×51×71×411×2111×14831
LCM(311430,311436) = 16165085580

Factors of 311430

List of positive integer factors of 311430 that divides 311430 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 1483, 2966, 4449, 7415, 8898, 10381, 14830, 20762, 22245, 31143, 44490, 51905, 62286, 103810, 155715, 311430

Factors of 311436

List of positive integer factors of 311436 that divides 311436 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 41, 82, 123, 164, 211, 246, 369, 422, 492, 633, 738, 844, 1266, 1476, 1899, 2532, 3798, 7596, 8651, 17302, 25953, 34604, 51906, 77859, 103812, 155718, 311436

Least Common Multiple of 311430 and 311436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 311430 and 311436, than apply into the LCM equation.

GCF(311430,311436) = 6
LCM(311430,311436) = ( 311430 × 311436) / 6
LCM(311430,311436) = 96990513480 / 6
LCM(311430,311436) = 16165085580

Properties of LCM 311430 and 311436

(i) The LCM of 311436 and 311430 is associative

LCM of 311430 and 311436 = LCM of 311436 and 311430

Related Least Common Multiples of 311430

Related Least Common Multiples of 311436

Frequently Asked Questions on LCM of 311430 and 311436

1. What is the LCM of 311430 and 311436?

Answer: LCM of 311430 and 311436 is 16165085580.

2. What are the Factors of 311430?

Answer: Factors of 311430 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 1483, 2966, 4449, 7415, 8898, 10381, 14830, 20762, 22245, 31143, 44490, 51905, 62286, 103810, 155715, 311430. There are 32 integers that are factors of 311430. The greatest factor of 311430 is 311430.

3. What are the Factors of 311436?

Answer: Factors of 311436 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 41, 82, 123, 164, 211, 246, 369, 422, 492, 633, 738, 844, 1266, 1476, 1899, 2532, 3798, 7596, 8651, 17302, 25953, 34604, 51906, 77859, 103812, 155718, 311436. There are 36 integers that are factors of 311436. The greatest factor of 311436 is 311436.

4. How to Find the LCM of 311430 and 311436?

Answer:

Least Common Multiple of 311430 and 311436 = 16165085580

Step 1: Find the prime factorization of 311430

311430 = 2 x 3 x 5 x 7 x 1483

Step 2: Find the prime factorization of 311436

311436 = 2 x 2 x 3 x 3 x 41 x 211

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 16165085580 = 2 x 2 x 3 x 3 x 5 x 7 x 41 x 211 x 1483

Step 4: Therefore, the least common multiple of 311430 and 311436 is 16165085580.